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Finding the Third Proportional to 221,851,910 and 346,208,369.50

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Solution

The third proportional to 221,851,910 and 346,208,369.50 is: 540,271,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,851,910 : 346,208,369.50 = 346,208,369.50 : x
  2. Step 2: Convert to fraction form
    221,851,910/346,208,369.50 = 346,208,369.50/x
  3. Step 3: Cross multiply
    221,851,910x = 346,208,369.50 × 346,208,369.50
  4. Step 4: Simplify right side
    221,851,910x = 119,860,235,111,848,528
  5. Step 5: Solve for x
    x = 119,860,235,111,848,528/221,851,910
  6. Step 6: Final answer
    x = 540,271,368.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.